logo

Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, v, w, x, y, z
from proveit.linear_algebra import TensorProd, VecAdd
In [2]:
# build up the expression from sub-expressions
sub_expr1 = TensorProd(x, y, v)
sub_expr2 = TensorProd(x, TensorProd(y, z))
expr = ExprTuple(VecAdd(sub_expr2, TensorProd(x, y, w), sub_expr1), VecAdd(sub_expr2, TensorProd(x, TensorProd(y, w)), sub_expr1))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\left(x {\otimes} \left(y {\otimes} z\right)\right) + \left(x {\otimes} y {\otimes} w\right) + \left(x {\otimes} y {\otimes} v\right), \left(x {\otimes} \left(y {\otimes} z\right)\right) + \left(x {\otimes} \left(y {\otimes} w\right)\right) + \left(x {\otimes} y {\otimes} v\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple7, 6, 9
4Literal
5ExprTuple7, 8, 9
6Operationoperator: 19
operands: 10
7Operationoperator: 19
operands: 11
8Operationoperator: 19
operands: 12
9Operationoperator: 19
operands: 13
10ExprTuple16, 22, 23
11ExprTuple16, 14
12ExprTuple16, 15
13ExprTuple16, 22, 17
14Operationoperator: 19
operands: 18
15Operationoperator: 19
operands: 20
16Variable
17Variable
18ExprTuple22, 21
19Literal
20ExprTuple22, 23
21Variable
22Variable
23Variable